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Results tagged with nt.number-theory
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user 119533
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
2
votes
Accepted
Instance of polynomial van der Waerden without good bounds
Isn't this paper the most up to date? I believe the introduction covers all of the relevant literature.
"Proving a fully general quantitative polynomial Szemerédi theorem remains a very challenging o …
- 383
5
votes
0
answers
839
views
Increasing sequences in polynomial progressions modulo p
In a random permutation on $n$ elements one expects the largest increasing and decreasing sequences to have size $(2+o(1))\sqrt{n}$. Is it known if this same property holds in sequences given by poly …
- 383